Lecture notes on rough paths and applications to machine learning
Machine Learning
2024-04-11 v1 Probability
Statistics Theory
Statistics Theory
Abstract
These notes expound the recent use of the signature transform and rough path theory in data science and machine learning. We develop the core theory of the signature from first principles and then survey some recent popular applications of this approach, including signature-based kernel methods and neural rough differential equations. The notes are based on a course given by the two authors at Imperial College London.
Cite
@article{arxiv.2404.06583,
title = {Lecture notes on rough paths and applications to machine learning},
author = {Thomas Cass and Cristopher Salvi},
journal= {arXiv preprint arXiv:2404.06583},
year = {2024}
}